LCM of 543, 776, 284, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 776, 284, 171 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 543, 776, 284, 171. So, keep reading to learn more.
Given numbers are 543,776,284,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,776,284,171 is 1705276296.
Find LCM of 543,776,284,171 with Prime Factorization
| 2 | 543, 776, 284, 171 |
| 2 | 543, 388, 142, 171 |
| 3 | 543, 194, 71, 171 |
| 181, 194, 71, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 194 x 71 x 57 = 1705276296
Therefore, the lowest common multiple of 543,776,284,171 is 1705276296.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
543 x 776 x 284 x 171 = 20463315552
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
543 : 1, 3, 181, 543
776 : 1, 2, 4, 8, 97, 194, 388, 776
284 : 1, 2, 4, 71, 142, 284
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,776,284,171, is 1.
Now, the common factors can be found like this.
543:3x 181
776:2x 2x 2x 97
284:2x 2x 71
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 20463315552/(1x12)
LCM = 20463315552/12
LCM = 1705276296
Thus, we can understand that the LCM of 543,776,284,171 is 1705276296.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 776, 284, 171
1. What is the LCM of 543, 776, 284, 171?
Answer: LCM of 543, 776, 284, 171 is 1705276296.
2. How to calculate the LCM of 543, 776, 284, 171?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 543, 776, 284, 171.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.